2142113424 has 80 divisors (see below), whose sum is σ = 6392001600. Its totient is φ = 610938880.

The previous prime is 2142113419. The next prime is 2142113431. The reversal of 2142113424 is 4243112412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2142113394 and 2142113403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110349 + ... + 128300.

It is an arithmetic number, because the mean of its divisors is an integer number (79900020).

Almost surely, 2^2142113424 is an apocalyptic number.

2142113424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2142113424 is an abundant number, since it is smaller than the sum of its proper divisors (4249888176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2142113424 is a wasteful number, since it uses less digits than its factorization.

2142113424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238688 (or 238682 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2142113424 is about 46282.9712097225. The cubic root of 2142113424 is about 1289.0828213976.

Adding to 2142113424 its reverse (4243112412), we get a palindrome (6385225836).

The spelling of 2142113424 in words is "two billion, one hundred forty-two million, one hundred thirteen thousand, four hundred twenty-four".